Plutomonk Start free

Quantitative Aptitude · Bank exam practice

Mixture & Alligation questions for bank exams

Mixture and alligation questions mix two items at different prices or concentrations, or replace part of a mixture repeatedly. Plutomonk has 1,040 Mixture & Alligation questions in Prelims and Mains sets of 10, each with a worked solution. They are useful for IBPS PO, SBI PO, IBPS Clerk, SBI Clerk, IBPS RRB and RBI Assistant.

Practise Mixture & Alligation freeToday's Daily Challenge
Quick tip

Draw the alligation cross. The ratio of the two quantities is the opposite of their differences from the mean.

Mixture & Alligation sample questions with answers

These are from the first Prelims and Mains sets. Try each question before you open the solution.

Q1. In what ratio must rice at ₹45/kg be mixed with rice at ₹72/kg so that the mixture costs ₹46/kg?

  1. 26 : 1
  2. 26 : 3
  3. 1 : 1
  4. 27 : 1
  5. 1 : 26
Show answer and solution

Answer: A. 26 : 1

Alligation: (72 − 46) : (46 − 45) = 26 : 1 = 26 : 1.

Q2. In what ratio must rice at ₹21/kg be mixed with rice at ₹65/kg so that the mixture costs ₹39/kg?

  1. 14 : 9
  2. 13 : 11
  3. 9 : 13
  4. 21 : 65
  5. 13 : 9
Show answer and solution

Answer: E. 13 : 9

Alligation: (65 − 39) : (39 − 21) = 26 : 18 = 13 : 9.

Q3. In what ratio must rice at ₹49/kg be mixed with rice at ₹95/kg so that the mixture costs ₹76/kg?

  1. 19 : 29
  2. 1 : 1
  3. 20 : 27
  4. 49 : 95
  5. 19 : 27
Show answer and solution

Answer: E. 19 : 27

Alligation: (95 − 76) : (76 − 49) = 19 : 27 = 19 : 27.

Q4. In what ratio must rice at ₹25/kg be mixed with rice at ₹38/kg so that the mixture costs ₹29/kg?

  1. 25 : 38
  2. 1 : 1
  3. 9 : 4
  4. 9 : 6
  5. 4 : 9
Show answer and solution

Answer: C. 9 : 4

Alligation: (38 − 29) : (29 − 25) = 9 : 4 = 9 : 4.

Q5. In what ratio must rice at ₹33/kg be mixed with rice at ₹53/kg so that the mixture costs ₹49/kg?

  1. 4 : 1
  2. 33 : 53
  3. 1 : 4
  4. 2 : 4
  5. 1 : 6
Show answer and solution

Answer: C. 1 : 4

Alligation: (53 − 49) : (49 − 33) = 4 : 16 = 1 : 4.

Q6. In what ratio must rice at ₹55/kg be mixed with rice at ₹91/kg so that the mixture costs ₹65/kg?

  1. 13 : 7
  2. 13 : 5
  3. 1 : 1
  4. 5 : 13
  5. 14 : 5
Show answer and solution

Answer: B. 13 : 5

Alligation: (91 − 65) : (65 − 55) = 26 : 10 = 13 : 5.

Q7. In what ratio must rice at ₹44/kg be mixed with rice at ₹66/kg so that the mixture costs ₹57/kg?

  1. 1 : 1
  2. 10 : 13
  3. 9 : 13
  4. 44 : 66
  5. 9 : 15
Show answer and solution

Answer: C. 9 : 13

Alligation: (66 − 57) : (57 − 44) = 9 : 13 = 9 : 13.

Q8. In what ratio must rice at ₹44/kg be mixed with rice at ₹55/kg so that the mixture costs ₹47/kg?

  1. 8 : 5
  2. 3 : 8
  3. 9 : 3
  4. 8 : 3
  5. 44 : 55
Show answer and solution

Answer: D. 8 : 3

Alligation: (55 − 47) : (47 − 44) = 8 : 3 = 8 : 3.

Q9. A container has 160 litres of milk. 10 litres are taken out and replaced with water. This is done once more. How much milk is left?

  1. 136.63 litres
  2. 140.63 litres
  3. 140 litres
  4. 145.63 litres
  5. 131.84 litres
Show answer and solution

Answer: B. 140.63 litres

Milk left = 160 × (1 − 10/160)² = 140.63 litres.

Q10. A container has 140 litres of milk. 25 litres are taken out and replaced with water. This is done once more. How much milk is left?

  1. 90 litres
  2. 94.46 litres
  3. 77.6 litres
  4. 90.46 litres
  5. 99.46 litres
Show answer and solution

Answer: B. 94.46 litres

Milk left = 140 × (1 − 25/140)² = 94.46 litres.

Q11. A 160-litre mixture has milk and water in the ratio 4 : 1. How much water must be added to make the ratio 1 : 1?

  1. 106 litres
  2. 96 litres
  3. 91 litres
  4. 192 litres
  5. 101 litres
Show answer and solution

Answer: B. 96 litres

Milk = 128 L, water = 32 L. Need water = 128 × 1/1 = 128 L. Add 96 L.

Q12. A container has 80 litres of milk. 20 litres are taken out and replaced with water. This is done once more. How much milk is left?

  1. 50 litres
  2. 33.75 litres
  3. 45 litres
  4. 40 litres
  5. 60 litres
Show answer and solution

Answer: C. 45 litres

Milk left = 80 × (1 − 20/80)² = 45 litres.

Want 1,028+ more Mixture & Alligation questions?

Open the free app for a new set every day, with timer, percentile and rank.

Start Mixture & Alligation practice

More Quantitative Aptitude topics

Practise for your exam

IBPS POSBI POIBPS ClerkSBI ClerkIBPS RRBRBI Assistant